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The algebraic theory of modular systems

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The algebraic theory of modular systems


Published 1916
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14 21


Publisher Cambridge University Press
Pages 140
Possible copyright status NOT_IN_COPYRIGHT
Language English
Call number AIK-6877
Digitizing sponsor MSN
Book contributor Gerstein - University of Toronto
Collection gerstein; toronto

Full catalog record MARCXML

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Reviewer: Eithen Kit - favoritefavoritefavoritefavorite - March 27, 2012
Subject: The algebraic theory of modular systems review
Many of the ideas introduced by F.S. Macaulay in this classic book have developed into central concepts in what has become the branch of mathematics known as Commutative Algebra. Today his name is remembered through the term "Cohen-Macaulay ring," however, it is less well known that he pioneered several other fundamental ideas, including the concept of the Gorenstein ring and the use of injective modules, ideas that were not systematically developed until considerably later in this century. In this reissue, an introduction by Professor Paul Roberts describes the influence of Macaulay's ideas on recent developments in the subject as well as other changes in the field since then. The background to Macaulay's thinking is discussed, and the development of modern theory is outlined.
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